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5407668 = 2233723311
BaseRepresentation
bin10100101000001110110100
3101011201221000
4110220032310
52341021133
6311523300
763651540
oct24501664
911151830
105407668
113063952
121989530
131174506
14a0aa20
1571c413
hex5283b4

5407668 has 96 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 1473120.

The previous prime is 5407651. The next prime is 5407669. The reversal of 5407668 is 8667045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5407669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17233 + ... + 17543.

It is an arithmetic number, because the mean of its divisors is an integer number (174720).

Almost surely, 25407668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5407668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

5407668 is an abundant number, since it is smaller than the sum of its proper divisors (11365452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5407668 is a wasteful number, since it uses less digits than its factorization.

5407668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5407668 is about 2325.4393133341. The cubic root of 5407668 is about 175.5240671209.

The spelling of 5407668 in words is "five million, four hundred seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 311 322 378 414 483 621 622 644 756 828 933 966 1242 1244 1449 1866 1932 2177 2484 2799 2898 3732 4347 4354 5598 5796 6531 7153 8397 8694 8708 11196 13062 14306 16794 17388 19593 21459 26124 28612 33588 39186 42918 50071 58779 64377 78372 85836 100142 117558 128754 150213 193131 200284 235116 257508 300426 386262 450639 600852 772524 901278 1351917 1802556 2703834 5407668